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Finding the Third Proportional to 199,415 and 299,271

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Solution

The third proportional to 199,415 and 299,271 is: 449,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415 : 299,271 = 299,271 : x
  2. Step 2: Convert to fraction form
    199,415/299,271 = 299,271/x
  3. Step 3: Cross multiply
    199,415x = 299,271 × 299,271
  4. Step 4: Simplify right side
    199,415x = 89,563,131,441
  5. Step 5: Solve for x
    x = 89,563,131,441/199,415
  6. Step 6: Final answer
    x = 449,129.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.